3968564352172 has 72 divisors (see below), whose sum is σ = 8305364945808. Its totient is φ = 1653424012800.

The previous prime is 3968564352157. The next prime is 3968564352229. The reversal of 3968564352172 is 2712534658693.

It is a super-2 number, since 2×3968564352172² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3968564352172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379383 + ... + 3136849.

It is an arithmetic number, because the mean of its divisors is an integer number (115352290914).

Almost surely, 2^{3968564352172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968564352172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152682472904).

3968564352172 is an abundant number, since it is smaller than the sum of its proper divisors (4336800593636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3968564352172 is a wasteful number, since it uses less digits than its factorization.

3968564352172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757807 (or 1757798 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 3968564352172 in words is "three trillion, nine hundred sixty-eight billion, five hundred sixty-four million, three hundred fifty-two thousand, one hundred seventy-two".